Question 111617
Rate x Time = Distance
1. {{{32*T=D}}}
2. {{{(32+4)*(T-1/2)=D}}}
Since both equal D, put them equal to each other.
{{{32T=36(T-1/2)}}}
{{{32T=36T-18}}}
{{{-4T=-18}}}
{{{T=4.5}}} 
From 1,
1.{{{D=32*T}}}
{{{D=32*4.5}}}
{{{D=144}}}
Check your answer using equation 2.
2. {{{D=(32+4)*(T-1/2)}}}
{{{144=(32+4)*(4.5-0.5)}}}
{{{144=36*4}}}
{{{144=144}}}
True statement. 
Good answer.
The distance is 144 miles.